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Finding the Fourth Proportional to 222.17, 306.48 and 147.56

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Solution

The fourth proportional to 222.17, 306.48 and 147.56 is: 203.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.17 : 306.48 = 147.56 : x
  2. Step 2: Convert to fraction form
    222.17/306.48 = 147.56/x
  3. Step 3: Cross multiply
    222.17x = 306.48 × 147.56
  4. Step 4: Simplify right side
    222.17x = 45,224.19
  5. Step 5: Solve for x
    x = 45,224.19/222.17
  6. Step 6: Final answer
    x = 203.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.